RCV completely solves the “spoiler candidate” problem, which is a huge issue limiting choice and innovation in the two-party-dominated US. Approval Voting remains susceptible to spoilers.

In the US there are already people who complain that any election they lose must been “rigged”, including the current occupant of the White House. Choosing Approval Voting over RCV is not going to bring such people around; it’s rhetorical advantages are inconsequential.